{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "422e868e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "a_investor=np.random.normal(loc=100,scale=50,size=(100,1))\n",
    "b_investor = np.random.normal(loc=100, scale=20, size=(100, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "06c7740e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a交易者期望93.85元, 标准差49.22, 方差2423.06\n",
      "b交易者期望100.18元, 标准差20.12, 方差405.01\n"
     ]
    }
   ],
   "source": [
    "# a交易者\n",
    "print('a交易者期望{0:.2f}元, 标准差{1:.2f}, 方差{2:.2f}'.format(\n",
    "        a_investor.mean(), a_investor.std(), a_investor.var()))\n",
    "\n",
    "# b交易者\n",
    "print('b交易者期望{0:.2f}元, 标准差{1:.2f}, 方差{2:.2f}'.format(\n",
    "        b_investor.mean(), b_investor.std(), b_investor.var()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a99bc860",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x156ec74f0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "a_mean= a_investor.mean()\n",
    "a_std= a_investor.std()\n",
    "plt.plot(a_investor)\n",
    "plt.axhline(a_mean+a_std,color='r')\n",
    "plt.axhline(a_mean,color='y')\n",
    "plt.axhline(a_mean-a_std,color='g')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "81cabb85",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x156f65b80>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "b_mean= b_investor.mean()\n",
    "b_std= b_investor.std()\n",
    "plt.plot(b_investor)\n",
    "plt.axhline(b_mean+b_std,color='r')\n",
    "plt.axhline(b_mean,color='y')\n",
    "plt.axhline(b_mean-b_std,color='g')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "1afa6d14",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "股票0 mean均值期望:-0.094\n",
      "股票0 std振幅标准差:0.993\n"
     ]
    }
   ],
   "source": [
    "import scipy.stats as scs\n",
    "stock_cnt = 200\n",
    "# 504个交易日\n",
    "view_days = 504\n",
    "# 生成服从正态分布：均值期望＝0，标准差＝1的序列\n",
    "stock_day_change = np.random.standard_normal((stock_cnt, view_days))\n",
    "stock_mean=stock_day_change[0].mean()\n",
    "stock_std=stock_day_change[0].std()\n",
    "\n",
    "print('股票0 mean均值期望:{:.3f}'.format(stock_mean))\n",
    "print('股票0 std振幅标准差:{:.3f}'.format(stock_std))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "10c022c7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00155709, 0.00231441, 0.00338996, 0.00489301, 0.00695963,\n",
       "       0.00975492, 0.01347377, 0.01833929, 0.02459821, 0.03251265,\n",
       "       0.04234762, 0.05435425, 0.0687489 , 0.08568914, 0.10524795,\n",
       "       0.12738823, 0.15194022, 0.1785846 , 0.20684407, 0.23608583,\n",
       "       0.26553672, 0.29431137, 0.32145287, 0.34598349, 0.36696212,\n",
       "       0.38354374, 0.39503572, 0.40094577, 0.40101693, 0.39524608,\n",
       "       0.38388421, 0.36741824, 0.34653651, 0.32208097, 0.29499112,\n",
       "       0.26624448, 0.23679913, 0.20754266, 0.17925136, 0.15256164,\n",
       "       0.12795463, 0.10575344, 0.08613126, 0.06912814, 0.05467349,\n",
       "       0.04261146, 0.03272683, 0.02476904, 0.01847321, 0.01357698])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# normed is deprceited,density https://blog.csdn.net/Haoyu_xie/article/details/106814610\n",
    "plt.hist(stock_day_change[0], bins=50, density=True)\n",
    "fit_linespace=np.linspace(stock_day_change[0].min(),stock_day_change[0].max())\n",
    "pdf=scs.norm(stock_mean,stock_std).pdf(fit_linespace)\n",
    "plt.plot(fit_linspace, pdf, lw=2,c=\"r\")\n",
    "pdf\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "df96ef58",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       "        .bk-notebook-logo {\n",
       "            display: block;\n",
       "            width: 20px;\n",
       "            height: 20px;\n",
       "            background-image: url();\n",
       "        }\n",
       "    </style>\n",
       "    <div>\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-notebook-logo\"></a>\n",
       "        <span id=\"p1169\">Loading BokehJS ...</span>\n",
       "    </div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  const force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "const JS_MIME_TYPE = 'application/javascript';\n",
       "  const HTML_MIME_TYPE = 'text/html';\n",
       "  const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  const CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    const script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    const cell = handle.cell;\n",
       "\n",
       "    const id = cell.output_area._bokeh_element_id;\n",
       "    const server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd_clean, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            const id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd_destroy);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    const output_area = handle.output_area;\n",
       "    const output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      const bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      const script_attrs = bk_div.children[0].attributes;\n",
       "      for (let i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      const toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    const events = require('base/js/events');\n",
       "    const OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  const NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    const el = document.getElementById(\"p1169\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.1.0.min.js\"];\n",
       "  const css_urls = [];\n",
       "\n",
       "  const inline_js = [    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "function(Bokeh) {\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "          for (let i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      const cell = $(document.getElementById(\"p1169\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  const force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n\n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  const NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    const el = document.getElementById(\"p1169\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.1.0.min.js\"];\n  const css_urls = [];\n\n  const inline_js = [    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\nfunction(Bokeh) {\n    }\n  ];\n\n  function run_inline_js() {\n    if (root.Bokeh !== undefined || force === true) {\n          for (let i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\nif (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      const cell = $(document.getElementById(\"p1169\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"a32c1420-a1b6-4f30-9b08-a9765e414635\" data-root-id=\"p1114\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"29861bd3-f917-4596-bb23-f13039bc8efd\":{\"version\":\"3.1.0\",\"title\":\"Bokeh Application\",\"defs\":[],\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1114\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1116\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1115\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1127\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1129\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1121\"},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1166\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1160\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1161\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1162\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",[1,2,3,4,5]],[\"y\",[6,7,2,3,6]]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1167\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1168\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1163\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1164\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1165\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1122\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1145\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1146\"},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1147\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1148\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"bottom_units\":\"canvas\",\"top_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1149\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1150\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1151\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1138\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1140\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1139\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1141\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1131\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1133\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1132\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1134\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1137\",\"attributes\":{\"axis\":{\"id\":\"p1131\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1144\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1138\"}}}]}}],\"callbacks\":{\"type\":\"map\"}}};\n",
       "  const render_items = [{\"docid\":\"29861bd3-f917-4596-bb23-f13039bc8efd\",\"roots\":{\"p1114\":\"a32c1420-a1b6-4f30-9b08-a9765e414635\"},\"root_ids\":[\"p1114\"]}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "p1114"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.plotting import figure\n",
    "from bokeh.io import show, output_notebook\n",
    "x_values = [1, 2, 3, 4, 5]\n",
    "y_values = [6, 7, 2, 3, 6]\n",
    "\n",
    "p = figure()\n",
    "p.circle(x=x_values, y=y_values)\n",
    "output_notebook()\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "db785c30",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1.31475172  0.07268181 -0.39204457 -0.57935328 -0.13906182]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       "        .bk-notebook-logo {\n",
       "            display: block;\n",
       "            width: 20px;\n",
       "            height: 20px;\n",
       "            background-image: url();\n",
       "        }\n",
       "    </style>\n",
       "    <div>\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-notebook-logo\"></a>\n",
       "        <span id=\"p1325\">Loading BokehJS ...</span>\n",
       "    </div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  const force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "const JS_MIME_TYPE = 'application/javascript';\n",
       "  const HTML_MIME_TYPE = 'text/html';\n",
       "  const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  const CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    const script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    const cell = handle.cell;\n",
       "\n",
       "    const id = cell.output_area._bokeh_element_id;\n",
       "    const server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd_clean, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            const id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd_destroy);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    const output_area = handle.output_area;\n",
       "    const output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      const bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      const script_attrs = bk_div.children[0].attributes;\n",
       "      for (let i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      const toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    const events = require('base/js/events');\n",
       "    const OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  const NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    const el = document.getElementById(\"p1325\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.1.0.min.js\"];\n",
       "  const css_urls = [];\n",
       "\n",
       "  const inline_js = [    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "function(Bokeh) {\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "          for (let i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      const cell = $(document.getElementById(\"p1325\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  const force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n\n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  const NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    const el = document.getElementById(\"p1325\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.1.0.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-3.1.0.min.js\"];\n  const css_urls = [];\n\n  const inline_js = [    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\nfunction(Bokeh) {\n    }\n  ];\n\n  function run_inline_js() {\n    if (root.Bokeh !== undefined || force === true) {\n          for (let i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\nif (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      const cell = $(document.getElementById(\"p1325\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "  <div id=\"9a27d078-9a96-4928-b053-1a5cac2402b9\" data-root-id=\"p1260\" style=\"display: contents;\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "  const docs_json = {\"71d5bf2d-bd58-4f05-b6f8-e1a09744bc3a\":{\"version\":\"3.1.0\",\"title\":\"Bokeh Application\",\"defs\":[],\"roots\":[{\"type\":\"object\",\"name\":\"Figure\",\"id\":\"p1260\",\"attributes\":{\"x_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1262\"},\"y_range\":{\"type\":\"object\",\"name\":\"DataRange1d\",\"id\":\"p1261\"},\"x_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1274\"},\"y_scale\":{\"type\":\"object\",\"name\":\"LinearScale\",\"id\":\"p1276\"},\"title\":{\"type\":\"object\",\"name\":\"Title\",\"id\":\"p1263\",\"attributes\":{\"text\":\"Standard Nomal\"}},\"renderers\":[{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1313\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1307\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1308\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1309\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",[1,2,3,4,5]],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"xjc+GjkJ9b+n5BtiRpuyPxOwsRpCF9m/67cd4w+K4r8mBJshx8zBvw==\"},\"shape\":[5],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1314\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1315\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1310\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"}}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1311\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.1},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.1},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.1}}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Circle\",\"id\":\"p1312\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"line_alpha\":{\"type\":\"value\",\"value\":0.2},\"fill_color\":{\"type\":\"value\",\"value\":\"#1f77b4\"},\"fill_alpha\":{\"type\":\"value\",\"value\":0.2},\"hatch_alpha\":{\"type\":\"value\",\"value\":0.2}}}}},{\"type\":\"object\",\"name\":\"GlyphRenderer\",\"id\":\"p1322\",\"attributes\":{\"data_source\":{\"type\":\"object\",\"name\":\"ColumnDataSource\",\"id\":\"p1316\",\"attributes\":{\"selected\":{\"type\":\"object\",\"name\":\"Selection\",\"id\":\"p1317\",\"attributes\":{\"indices\":[],\"line_indices\":[]}},\"selection_policy\":{\"type\":\"object\",\"name\":\"UnionRenderers\",\"id\":\"p1318\"},\"data\":{\"type\":\"map\",\"entries\":[[\"x\",[1,2,3,4,5]],[\"y\",{\"type\":\"ndarray\",\"array\":{\"type\":\"bytes\",\"data\":\"jAa1DyhK4T8FclNXJqLav9Llhb4Eru+/wSTbBqbq5L/ZSmtwhSfSPw==\"},\"shape\":[5],\"dtype\":\"float64\",\"order\":\"little\"}]]}}},\"view\":{\"type\":\"object\",\"name\":\"CDSView\",\"id\":\"p1323\",\"attributes\":{\"filter\":{\"type\":\"object\",\"name\":\"AllIndices\",\"id\":\"p1324\"}}},\"glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1319\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\"}},\"nonselection_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1320\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.1}},\"muted_glyph\":{\"type\":\"object\",\"name\":\"Line\",\"id\":\"p1321\",\"attributes\":{\"x\":{\"type\":\"field\",\"field\":\"x\"},\"y\":{\"type\":\"field\",\"field\":\"y\"},\"line_color\":\"#1f77b4\",\"line_alpha\":0.2}}}}],\"toolbar\":{\"type\":\"object\",\"name\":\"Toolbar\",\"id\":\"p1269\",\"attributes\":{\"tools\":[{\"type\":\"object\",\"name\":\"PanTool\",\"id\":\"p1292\"},{\"type\":\"object\",\"name\":\"WheelZoomTool\",\"id\":\"p1293\"},{\"type\":\"object\",\"name\":\"BoxZoomTool\",\"id\":\"p1294\",\"attributes\":{\"overlay\":{\"type\":\"object\",\"name\":\"BoxAnnotation\",\"id\":\"p1295\",\"attributes\":{\"syncable\":false,\"level\":\"overlay\",\"visible\":false,\"left_units\":\"canvas\",\"right_units\":\"canvas\",\"bottom_units\":\"canvas\",\"top_units\":\"canvas\",\"line_color\":\"black\",\"line_alpha\":1.0,\"line_width\":2,\"line_dash\":[4,4],\"fill_color\":\"lightgrey\",\"fill_alpha\":0.5}}}},{\"type\":\"object\",\"name\":\"SaveTool\",\"id\":\"p1296\"},{\"type\":\"object\",\"name\":\"ResetTool\",\"id\":\"p1297\"},{\"type\":\"object\",\"name\":\"HelpTool\",\"id\":\"p1298\"}]}},\"left\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1285\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1287\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1286\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1288\"}}}],\"below\":[{\"type\":\"object\",\"name\":\"LinearAxis\",\"id\":\"p1278\",\"attributes\":{\"ticker\":{\"type\":\"object\",\"name\":\"BasicTicker\",\"id\":\"p1280\",\"attributes\":{\"mantissas\":[1,2,5]}},\"formatter\":{\"type\":\"object\",\"name\":\"BasicTickFormatter\",\"id\":\"p1279\"},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1281\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1284\",\"attributes\":{\"axis\":{\"id\":\"p1278\"}}},{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1291\",\"attributes\":{\"dimension\":1,\"axis\":{\"id\":\"p1285\"}}}]}}],\"callbacks\":{\"type\":\"map\"}}};\n",
       "  const render_items = [{\"docid\":\"71d5bf2d-bd58-4f05-b6f8-e1a09744bc3a\",\"roots\":{\"p1260\":\"9a27d078-9a96-4928-b053-1a5cac2402b9\"},\"root_ids\":[\"p1260\"]}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "p1260"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from bokeh.plotting import figure\n",
    "#from bokeh.io import show, output_notebook\n",
    "\n",
    "x = [1, 2, 3, 4, 5]\n",
    "random = np.random.standard_normal(5)\n",
    "print(random)\n",
    "cosine = np.cos(x)\n",
    "\n",
    "p = figure(title='Standard Nomal',width=600,height=600)\n",
    "p.circle(x=x, y=random)\n",
    "p.line(x=x, y=\n",
    "       cosine)\n",
    "output_notebook()\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b0f1dae0",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
